Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bb |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-455569920000 = -1 · 212 · 34 · 54 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -5 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,32463] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:120:1] [-21:156:1] |
Generators of the group modulo torsion |
j |
-1600/177957 |
j-invariant |
L |
9.0749402844411 |
L(r)(E,1)/r! |
Ω |
0.74723712974596 |
Real period |
R |
0.084337911130526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200m1 62400fq1 93600fd1 31200bh1 |
Quadratic twists by: -4 8 -3 5 |